... j = s ɛ ij n j   on   Σ i D j n j = tn i   on   Σ References [1] Fukada , E. , and Yasuda , I. , 1957 , “ On the Piezoelectric Effect of Bone ,” J. Phys. Soc. Jpn. , 12 , pp. 1158 – 1162 . 10.1143/JPSJ...

...Alfredo R. de Faria; Donatus C. D. Oguamanam; Maurício V. Donadon The nonlinear response of initially imperfect composite plates with piezoelectric actuators is investigated. The nonlinearity is limited to the prebuckling regime, where higher order terms present in the strain energy expression can...

..., electrostrictive, and piezoelectric film properties. Theoretically predicted vortex-like polydomain and experimentally observed bidomain and monodomain film morphologies are modeled using the continuum phase-field approach. A nonlinear finite element method is used to solve the boundary value problems relevant...

... fields, up to 500 V ∕ mm are applied parallel and anti-parallel to the poling direction, i.e., perpendicular to the crack surface. To determine the different contributions to the total energy release rate, the mechanical and the piezoelectric compliance, as well as the electrical capacitance...

...Vladimir Rovenski; Eugene Harash; Haim Abramovich This paper is devoted to the linear analysis of a slender homogeneous piezoelectric beam that undergoes tip loading. The solution of the Saint-Venant’s problem presented in this paper generalizes the known solution for a homogeneous elastic beam...

...H. L. Dai; Y. M. Fu; T. X. Liu An analytical method is presented to solve the problem of electromagnetoelastic dynamic response of transversely isotropic piezoelectric hollow spheres in a uniform magnetic field, subjected to arbitrary mechanical load and electric excitation. Exact expressions...

..., two magnetoelectroelastic layers with opposite poling directions, and a piezoelectric layer bonded to a piezomagnetic layer are also obtained. Explicit relations between the field intensity factors and the energy release rates for the interface crack are provided. 21 03 2005 17 07 2005...

...Piotr Cupiał The paper discusses an extension to the linear theory of piezoelectricity of the Rayleigh quotient used in the analysis of the properties and the approximate calculation of the natural frequencies of elastic continua. It is shown that for a piezoelectric continuum an infinite number...

...Wan-Lee Yin, Professor, A unified formalism is presented for theoretical analysis of plane anisotropic elasticity and piezoelectricity, unsymmetric anisotropic plates, and other two-dimensional problems of continua with linear constitutive relations. Complex variables are used to reduce...

...S. Kapuria, Associate Professor, A new zig-zag coupled theory is developed for hybrid cross-ply plates with some piezoelectric layers using third-order zig-zag approximation for the inplane displacements and sublayer wise piecewise linear approximation for the electric potential. The theory...

...Q. Wang; S. T. Quek; V. K. Varadan An analytical solution for the shear horizontal wave propagation excited by interdigital transducer in a piezoelectric coupled semi-infinite medium is developed. This solution is an extension of earlier work on wave propagation in a piezoelectric coupled plate...

... by such features as elasticity of the lattice, piezoelectricity, and dielectric and electrostatic interactions; and nonlinear reversible material behavior such as electrostriction may occur. Thus the external work is balanced by (1) internal energy consisting of stress doing work on strain increments, (2...

... by means of the interpolation method. Then the solution of displacements, stresses, electric displacements, and electric potential are obtained. The present method is suitable for a piezoelectric hollow sphere with an arbitrary thickness subjected to spherically symmetric electric potential and radial...

...Chunyu Li; G. J. Weng, Fellow ASME, Professor In this paper the problem of a finite crack in a strip of functionally graded piezoelectric material (FGPM) is studied. It is assumed that the elastic stiffness, piezoelectric constant, and dielectric permitivity of the FGPM vary continuously along...

..., 2001. Associate Editor: A. K. Mal. 15 Feb 2001 29 Aug 2001 03 05 2002 elastic waves surface acoustic waves wave propagation piezoelectricity dispersion relations Acoustic wave polarized in the horizontal shear direction (SH wave) have attracted much attention...

..., solutions for multilayered plates are expressed in terms of the propagator matrix. The present solutions include all the previous solutions, such as piezoelectric, piezomagnetic, purely elastic solutions, as special cases, and can therefore serve as benchmarks to check various thick plate theories...

... for Piezoelectric Media ,” Acta Mech. , 71 , pp. 39 – 49 . He , J. H. , 1999 , “ A Variational Principle for Thermo-Piezoelectricity Based on Chandrasekharaiah’s Generalized Linear Theory ,” J. Univ. Shanghai Sci. Tech. 21 , No. 4 , pp. 356 – 365 . Liu , G. L. , 1999 , “ A Unified...

.... , 1998 , “ Intelligent Material Systems: Application of Functional Materials ,” ASME Appl. Mech. , 51 , pp. 505 – 521 . Pak , Y. E. , 1990 , “ Crack Extension Force in a Piezoelectric Material ,” ASME J. Appl. Mech. , 57 , pp. 647 – 653 . Bisegna , P. , and Maceri , F...

... by the ASME Applied Mechanics Division, Jan. 19, 2000; final revision, Apr. 20, 2000. Associate Technical Editor: D. Kouris. 19 Jan 2000 20 Apr 2000 piezoelectricity cracks With an increasingly wide application media in engineering, the study on the crack problem in piezoelectric...

...S. S. Vel, Postdoctoral Research Associate, Mem. ASME; R. C. Batra, Clifton C. Garvin Professor, Fellow ASME Analytical solutions for the static three-dimensional deformations of multilayered piezoelectric rectangular plates are obtained by using the Eshelby-Stroh formalism. The laminated plate...